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Finding the Fourth Proportional to 327.57, 490.66 and 224.37

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Solution

The fourth proportional to 327.57, 490.66 and 224.37 is: 336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 490.66 = 224.37 : x
  2. Step 2: Convert to fraction form
    327.57/490.66 = 224.37/x
  3. Step 3: Cross multiply
    327.57x = 490.66 × 224.37
  4. Step 4: Simplify right side
    327.57x = 110,089.38
  5. Step 5: Solve for x
    x = 110,089.38/327.57
  6. Step 6: Final answer
    x = 336.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.